Abcd is a parallelogram. find the measure of abc

10 answers
Question:

Abcd is a parallelogram. find the measure of abc

[tex]Abcd is a parallelogram.find the measure of abc[/tex]


Answers

38+12 = 50 is the measure of angle ADC

The opposite to angle ADC is angle ABC
Opposite angles of a parallelogram are congruent, so angle ABC is also 50 degrees

50 degrees

(C)50°.

Step-by-step explanation:

It is given that ABCD is a parallelogram and m∠ADB=38° and m∠BDC=12°.

Now, [tex]m{\angle}ADC={\angle}ADB+{\angle}BDC[/tex]

[tex]m{\angle}ADC=38^{\circ}+12^{\circ}[/tex]

[tex]m{\angle}ADC=50^{\circ}[/tex]

Also, opposite angles of parallelogram are equal, therefore m∠ADC=m∠ABC=50°.

Hence, option C is correct.

17x + 13 + 8x - 8 = 180

25x + 5 = 180

25x = 175

x = 7

/_A = /_C = 8(7)-8 = 56-7 = 49

1: D would be 126°.
2: AB are parallel to CD so is would be 30.
3: C is identical to A so it would be 36°.

7x+13=8x-8
13=1x-8
21=1x
21=x

139

Step-by-step explanation:

(10x - 21)= (9x-5)

x=16

(9(16)-5)= 139

15

Step-by-step explanation:

9x-5=10x-20

X-20=-5

X=15

[tex]m\angle D=144^o[/tex]

[tex]AB=30[/tex]

[tex]m\angle C=36^o[/tex]

Step-by-step explanation:

We have been given that ABCD is a parallelogram.

A. Since we know that consecutive angles of parallelogram are supplementary.

We can set an equation as:

[tex]m\angle A+m\angle D=180^o[/tex]

Upon substituting measure of angle A in our equation we will get,

[tex]36^o+m\angle D=180^o[/tex]

[tex]36^o-36^o+m\angle D=180^o-36^o[/tex]

[tex]m\angle D=144^o[/tex]

Therefore, measure of angle D is 144 degrees.

B. Since we know that opposite sides of parallelogram are of equal length.

We can see that side CD is the opposite side of side AB and measure of side CD is 30, therefore, the measure of side AB is 30.

C. Since we know that opposite angles of parallelogram are of equal measure.

We can see that angle A is the opposite angle of angle C and measure of angle A is 36 degrees.

[tex]m\angle C=m\angle A;\text{ Opposite angles of parallelogram are of equal measure}[/tex]

Upon substituting angle A's measure in our equation we will get,

[tex]m\angle C=36^o[/tex]

Therefore, measure of angle C is 36 degrees.

D=100(opposites angles are equal)

A=C=80 (adj angles are supplementry)

Step-by-step explanation:

idkg. CNBC EDC dec EDC esc esc EDC wcvb wcvb wcvb wcvb wcvb wcvb wcvb scv CV scv EDC w.v

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